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Finding the Fourth Proportional to 82.22, 122.58 and 71.42

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Solution

The fourth proportional to 82.22, 122.58 and 71.42 is: 106.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.22 : 122.58 = 71.42 : x
  2. Step 2: Convert to fraction form
    82.22/122.58 = 71.42/x
  3. Step 3: Cross multiply
    82.22x = 122.58 × 71.42
  4. Step 4: Simplify right side
    82.22x = 8,754.05
  5. Step 5: Solve for x
    x = 8,754.05/82.22
  6. Step 6: Final answer
    x = 106.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.